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Question

If 2 is a zero of the polynomial of p(z)=7za and (a+2) is a zero of another polynomial q(x)=ax2+bx+c,which of the following is true?

A
16a+c=0
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B
16b+c=0
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C
256a+16b+c=0
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D
a+b+c=0
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Solution

The correct option is C 256a+16b+c=0
2 is a zero of polynomial p(z),p(2)=0
7(2)a=0
14a=0
a=14

Given, a+2=14+2=16 is a zeroof the polynomial q(x).
q(16)=0
q(16)=a(162)+b(16)+c=0
256a+16b+c=0

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